Question (4-1): A machine of mass 940 kg produces a vertical disturbing force which oscillates sinusoidally, having amplitude of 320 N at the machine's normal running speed of 550 rev/min. At this speed the force transmitted to the floor is to have amplitude of not more than 100 N, and to achieve this the machine is to be mounted on viscously damped springs. The static deflection of the spring mountings is to be not more than 15 mm, and the amplitude of vibration at resonance is to be kept as low as possible. Find (a) the total spring stiffness and total viscous damping coefficient which will enable these conditions to be satisfied, and (b) the resonance speed of the machine when such mountings are fitted. Ans: 615kN/m, 8850 N.s/m,25.1 rad/s.

Question (4-1): A machine of mass 940 kg produces a vertical disturbing force which oscillates sinusoidally, having amplitude of 320 N at the machine's normal running speed of 550 rev/min. At this speed the force transmitted to the floor is to have amplitude of not more than 100 N, and to achieve this the machine is to be mounted on viscously damped springs. The static deflection of the spring mountings is to be not more than 15 mm, and the amplitude of vibration at resonance is to be kept as low as possible. Find (a) the total spring stiffness and total viscous damping coefficient which will enable these conditions to be satisfied, and (b) the resonance speed of the machine when such mountings are fitted. Ans: 615kN/m, 8850 N.s/m,25.1 rad/s.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

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